{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multimedia Security Experiment 11\n"
     ]
    }
   ],
   "source": [
    "print(\"Multimedia Security Experiment 11\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import myipf # 前面的实验编写的函数\n",
    "from matplotlib.gridspec import GridSpec\n",
    "from bitarray import bitarray\n",
    "#from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"] # 用来正常显示中文\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False # 用来正常显示负号\n",
    "%config InlineBackend.figure_format = \"svg\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = plt.imread(\"standard_test_images/lena_gray_256.tif\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 随机低4位信息隐藏\n",
    "默认分块大小2×2，可自定义大小以增加鲁棒性，随机选择低4位中的一位隐藏信息，随机数生成器采用BBS，随机数种子需要严格保密，BBS循环两次，生成区间\\[0, 3\\]中的数，以达到随机选择比特位的目的。  \n",
    "\n",
    "对图像加0.05的椒盐噪声可以正常识别，加0.1的椒盐噪声需要增加分块大小为3×3才能完整识别出来。  \n",
    "分块越大，容量越小，质量，鲁棒性越强，如下表，以256×256的灰度图和本次实验为例  \n",
    "\n",
    "分块尺寸|容量(C/F)|质量(PSNR)|鲁棒性\n",
    "-|-|-|-\n",
    "2×2|0.031|47.356|0.1的椒盐噪声产生误码\n",
    "3×3|0.014|43.783|0.3的椒盐噪声产生误码\n",
    "4×4|0.008|41.217|0.4的椒盐噪声产生误码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "info = \"A boat across the end of the world and into the unknown sea, the bow hung side although it is still tormented Weathered incomparably beautiful banner, banner waving his words Yunlong generally beyond the limits of sparkling\"\n",
    "t_img = insertMark(img, info, 17, (4, 4))\n",
    "n_img = myipf.pepperNoise(t_img, 0.39)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'A boat across the end of the world\\x00and into the unknown sea, the bow hung ride although it is still tormentdd Weathered incomparably beautiful baNner, banner waving his words Yunlong generally beyond the limits of sparkling'"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getMark(n_img, 17, (4, 4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "均方差： 4.9135284423828125\n",
      "峰值信噪比： 41.216868865215574\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"128.573713pt\" version=\"1.1\" viewBox=\"0 0 349.2 128.573713\" width=\"349.2pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 128.573713 \n",
       "L 349.2 128.573713 \n",
       "L 349.2 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g clip-path=\"url(#p77699b7872)\">\n",
       "    <image height=\"99\" id=\"image89041be6ea\" transform=\"scale(1 -1)translate(0 -99)\" width=\"99\" x=\"7.2\" xlink:href=\"data:image/png;base64,\n",
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w4UIWLVrEyJEjKSwsFCE1NzdXwB/Ozs5s2LABgFGjRlFSUoKnpyeyLPPx40eio6NRPXnyhPv37zN27FjMZjMmk0k8aFRUFH369KFXr14cPHgQi8WCLMvk5OSQl5cnoAi9Xo/BYKBNmzZ4eXlx7do1vvrqK6qqqrh79y6SJLF//34CAwNFg/Xx40fGjx/PxIkTWbhwIR06dKB3795UVFTQsWNHLl++zIcPH3B0dCQ8PJzy8nKxAL/++itGoxGj0ci0adOw2WxMmjRJVE5K2JIkCZvNRlpamqigVCoV+/fvR5ZlOnXqxDfffCO8+fbt23z11VcAhIeH07BhQ5YtW0Z8fDz/fqnVaux2O1OmTGHRokXMmjULqAYXVSoVgYGBALRq1Yo6deqgUqnEmsqyjLOzMxqNBqvVyu7du9m/fz9GoxFVw4YNxUXsdjtmsxmALVu2kJmZSVZWFllZWTg5OaHRaJg/fz7BwcGEhYUB1eCh2Wzm4sWL9OvXj2fPniHLMkeOHOHDhw98+eWXyLJM+/bt0Wq1XLt2jWvXrjFv3jyCg4OpW7cukiSh1+tZuXIl3t7eZGdn07ZtW2HFdrudN2/ekJSUJAzCZrOxYMECFixYIDwjJSVF4EWKlyi1/MiRI9Hr9QwaNAgnJyd+++03AOGdymY9ePCAL7/8kn/++UcsuCRJosNXcqtS1i5YsIDk5GRmz57Nhw8f0Ov1oiJ78OABDRo0YMmSJWRkZBAREUF8fDxarRaDwUBlZSWxsbGMHTuW/fv3o3r48CEdOnRAlmUGDBjA1KlT+euvvwAYNGgQPXv2FLDyoEGD8Pb2Jjw8nNzcXIqKinBwcCA/P58WLVqwa9cuGjVqJJLp559/zoMHDwgJCeHSpUvk5eURFRXFixcvkGWZ169fs2PHDpo1a4ZWq6V+/fo4OTnRpk0brFYrN2/exNXVlZKSEi5fvszQoUOx2WyMGjWK7du3M2XKFObNm4fVagVg+vTpoutWLFjxlh07dgj4Q8mDCpyihBa1Wo1araaoqAiVSsXff//Nxo0bWbt2LSqVSoB7kiSRmJgIwNy5c5k/fz5JSUl07tyZ0tJS0b1/+eWXODg4ADBkyBAMBgMWi4Vly5ZhMBhQq9WYTCYsFguTJk2qrqaMRqMIJbIsC8Q1MzMTWZY5evQo3bp1IzMzU9T6SnN069Yt4Vkmkwl3d3cCAwNp3LgxOp2OIUOGEBAQQJs2bQDYu3cv3t7epKWl4e3tjdFoxNHRkdGjR6NSqdi7dy8WiwWz2UxAQAAfP37k7t27QHUuW7p0KVu2bAGqe6OkpCTBZSgbAtW4lBKyYmNjiY6OZuDAgWi1WlQqFZ07d/4Ekler1SJE+fn5CYOMjY0VwKTChSjXUmCWefPmYTab+fHHH3n8+DFXr17FYrGIXuXy5csipJeVlTFq1KhPvGzz5s3VqG1AQIB8+/Ztdu7cicVi4e+//2bBggVIkkRmZiZRUVFIksShQ4eorKwkNDSUJk2a0LhxY0ECaTQaPD09+d///kdxcTFt27YlJyeHESNGsHXrVsLDwykrK6N+/focOnSIIUOG4O3tTatWrVi4cCGNGzdm4cKF9O7dm4cPH/Ltt99y5swZ/P39+eKLL/jw4QNXr14lLCyMLl26cOfOHYxGIw0aNKBWrVo4ODgImEUBCW02G1OmTGHLli2CE1Gr1QwYMIDTp0/TtWtXrly5IvAqhXDy9fVFlmUCAwPR6XRMmDCBd+/eCfh9zZo12Gw2AcMoCIQsy/z4448kJycjSRIdOnTA1dUVlUpFkyZNhMEOHz4cu93Ojh07kGWZQYMGodfrycjIQFVYWMjcuXMZMmSIYNTCwsKYOHEiUVFRHDt2jEOHDtG3b1+GDh0qOmylWQRQqVSYzWbu3r1LTEwMOTk5+Pv7Y7FYaNeuHdnZ2fj4+FBZWcmUKVPYtWsXK1eu5NWrVxQVFTFs2DBu3ryJRqOhXbt2GI1GoBofMpvNWCwW/P398fLyYsGCBZSWluLi4kJaWhqVlZUiPyjlptlsxsHBAUmS0Gq1DBs2jEGDBjFw4ECRxJVGUPEMPz8/JEkiLCwMPz8/dDodN27cwMXFRXiCLMtMmDBBbLRKpcJqtTJr1ix+/PFH5s2bx6xZs6ioqKCqqgpJkmjatCmSJImSurKyku3btzNkyBDGjh3Lnj17yMjIqF7H5ORkPD09kSSJe/fu8d1333Ht2jUAMjMz6d27t7gZqIbOfXx8aN++PZIkYTab+c9//sOFCxcAyM/PJzIykjt37nD79m1ycnJo1aoVJ06c4OTJk4Lh2rVrFxMmTODcuXMcPXqU9PR0Hjx4QE5OjoA1QkJCqKqqEnBJaWkpAOfPn6e8vJypU6d+AvYpkIjCjaxdu5YffvgBgMOHDwvvUavVXL58WWyIUopOnjwZg8GAj48P9evXp0OHDjx79owJEyawceNGcR0lD0yePJnZs2ezcOFCZFnmw4cPLFy4kPLycgoKCrDZbNy+fZs7d+7QoEEDMjMz2bdvH5GRkZhMJtavX09sbCyDBw8mMjISKSUlRZZlmRcvXvD8+XMOHjwIVPPHoaGhDBkyRGyEJEkkJCSwevVqAgMDKSwspFmzZhQXFxMXF0d6ejojR47EYDBw8eJFWrZsSVlZGQ0aNCA3N5fs7GxkWWbXrl2ffO6uXbvYsWMHZWVlSJKE0WhEp9MJowgNDUWj0eDg4IDVasVkMpGXl8eMGTM+wX0WLVoEVGNFFotFMGrKYmdnZ2Oz2XBwcKBdu3bk5eWJBnTSpElkZ2cD0KtXL3755RexeSkpKZ8wfYmJiSQnJ2OxWDAajVRVVbF69WoiIyPx8/PjxYsXvHz5UlDPd+/exWKxUFZWRnp6OpmZmQKBPnr0KNHR0dXwSFJSkjxv3jz69OnDkSNHCA0NJS8vj4kTJxIcHIyjoyMajQY3NzeeP3/O9evXRSPl6+vL/fv36dixI9nZ2QQFBXHr1i3Cw8P5+++/GTlypMCPwsLCaNasGWq1GkdHRyRJ4smTJ5jNZk6cOCEWXafTUVlZidVqxcnJCZVKRWVlpQAPFfJq6NCheHl54erq+kmJq1KpBN5kMplwcHDAYDAIVg+q+wGl0mrevDnBwcFUVlbSsGFDTp06RdeuXdHr9VRUVAhWc9WqVSJXmM1mZs+ezcSJE1m9ejWjRo0CqsFLb29v1qxZgyRJFBQUiCIhICCAgoICmjdvTlxcHL///juenp6cP3+efv36VfMZ2dnZdOzYkSdPnuDn54e3tzdRUVF4enryww8/iLhYUlKC1Wpl2LBhtGzZkqCgIGw2G/Xr1+f8+fMA3Lp1i7Zt23L+/HlGjhzJ06dPRayNiorCbrdjs9n4559/ePjwIaGhoZw4cQI/Pz+gunm02+0UFBSg1+vRaDQYjUZcXV3Jzc0lNzeX9u3bizL63yCfgr4qX1qtlsmTJxMfH4/JZEKWZS5evMiVK1do2bIljx8/ZsKECbRq1Qq1Wo23tzfu7u50794dg8GAzWZDp9PRtWtX0tPTKS0tpbKyUnA/kyZNEou+efNmfHx8yMzMZM2aNQI3U+7DZrNRWFhI8+bNkWWZvn37UlhYyPnz5wkJCcFoNGK321FZrVays7MxmUzo9Xq0Wi1ubm7Mnj2bzMxM+vXrhyRJDBgwAJvNRnp6Ops3b6agoIDatWsLOLlTp06EhoaSk5ODJElUVFSwadMm0fBduHCBjIwMWrRowZEjRygrK8PV1VVYa/fu3XFycsJisRASEkJeXh5lZWVANRQSFhZGeHi4QIYHDBhASkqKiNmOjo6islPIMKguG52cnDh8+DDt27fn1atXhIeH069fP0wmEzqdDkmSuHz5Mv/88w8nTpwQIgW73Y7FYsHFxYWPHz8yb948KioqxHvmzZsnvGbhwoXiWX766ScSExMJCAhAp9MRHBwsKIqCggIMBgP79u1jxIgR5Ofnc+LECcrLy5EAOSgoCLPZLCxw5syZeHp6MmXKFA4dOiT4gsrKSnJycsjPz6d79+4cO3aM/Px8evXqxZs3b/jPf/5DcXExJpOJfv36Ce1RaGgoJSUl1KxZk9q1axMbG8uCBQvEZ+fn5xMWFkbNmjX53//+hyRJ5OXliQTu7OyMTqfj8uXLhIWF4eHhwZs3b6iqqhJ9z6BBg9izZw8zZ87Ey8sLJycnoWWqqqrCbDZTWVnJjh07PqFdlXxiNBrx8PAgOztbJOqwsDAqKysZP3485eXlTJ48meXLl4tNV/JNXFwcqampAqwsKyvDaDTSt29fvLy8aNCgAcXFxeJ6FouFwMBArly5wrNnz9iwYQPZ2dmo/Pz80Gg0FBcX4+HhwdChQ1GpVIKcUep2JVylp6fj6urKo0ePxAN99tlnqFQqnj59ilar5a+//kKtVlNWVib6gAYNGogqJyoqipMnT3L79m0RZqxWK2VlZeTl5QHV2JAsyxQXF2M2m6mqqiI0NBSr1cqpU6eoqqrC09NTWGPTpk2RZZnatWuLPKfT6dDr9YwZMwZHR0ccHR0pKiqqDgkqlZDd5ObmfgLwKeSaLMuCRdRoNGzatAl3d3c0Gg3x8fHExcURGxvL+vXrBQqgFDoK96JANUq4VqvVaLVabt26RZs2bRgwYABJSUlkZWWhKioqIi8vj6CgIE6ePInBYBBVyZ49e8RFFPJelmXOnj2Lo6MjAQEBIhSYzWY8PDy4desWsizz7Nkz8vLy2Llzp5DS2O123r9/z969e1m4cKHgOpSwVFFRQXBwMHl5ebx//56bN28SFhZGQUEB+fn55OXl4enpSVBQEEVFRVy8eJFp06axaNEiNBoNK1asYNy4cUKoUFVVRf/+/dm7d6/whsTERP7zn/9gNBqxWq3C2Lp06UJpaSnff/+9oGGtVisqlYro6GjsdjsxMTGiOdyyZQuyLLNp0ybi4uJEuSvLMklJSahUKg4cOIDRaOSvv/4S1LKvry/NmjVDo9Fw+/ZtCgsLcXNzo27dumj+LT6TJImRI0cC1dC0QiwBHDt2jG3btnHz5k06dOhA69atiY6O5n//+x9BQUGcOXOGFy9eCLmLYmVLly7l3r17AMyfPx+Ad+/e4eXlxejRo0lNTUWlUvH1119z5coVZFmmdevWWCwW2rZtKxarU6dOoqqrWbOmkGrOmzdPJG1Zllm2bBkmk4nx48eL5xo4cCCyLLN161ZWrlxJhw4dxMIZjUY6d+7MmzdvsNls2Gw2hg0bRvv27alTpw5HjhwRuU95j9J9K2u2ceNGkWcUylej0VBeXo7FYhE8/YMHD3jw4IFYm1u3bgl8DEAVGhr6CVNmtVpJTEwUlc3x48c5fvy4qItTU1PRaDSYzWbGjBkjbvDGjRuUlZXx8eNHAJKTk4mKimLatGm8fv2an376CYDFixfj5OREcHAwpaWlaLVaEe46depEWFgYV69eJT8/H4PBICo1Z2dnTp8+jd1ux83NjbS0NKZOnYosy0IlonzOlClTSElJEYv1448/AghE2mKxYLVaMRqNVFZWUllZKXKA1WolIyODixcv8vbtW9q2bcuHDx9Qq9Ui3ivQ/M8//ywaTWUNobovWbBggUCX7XY7TZs25csvv/wkZAUFBREQEIDVaq32ZsXyvv76a6Ba/TFz5kycnJwYMGAAx44dQ6vVcvjwYT5+/Cg2rX///nz22WfUqlWLCxcu0KVLFzw8PESjpvxfZmYms2bN4sSJE/z55580btwYd3d3ceNZWVnCuk0mEzdu3ACqwTqz2UyXLl149uwZderUoW3btgQEBLB27VoMBgNLlixBlmWWLFnCrFmzhMVNnz5dSIfWr1+PwWAQ9wPVfPbBgwd5//493t7enD17lsDAQJGPIiMjefHiBZcvX+b7778XnpeWlkZ8fDybNm0iJiaG9PR0EcbHjx/PmjVrxD1YLBZq164tSK67d+9it9vx9fXlzp07+Pv7AwjhnizLqOx2O23atMHBwYHWrVsDiPLw4MGDwhoUhaAsyyLnP3gDAAAgAElEQVRHpKWl8fnnn+Pu7s5vv/2GVqsVkh5F9jNixAiSk5P5/fff2bZtG0+fPhVSm927d3Pw4EHWrVuH1WpFrVYLZu/OnTufoKqnTp3Cy8sLvV7PzJkz0Wg0JCUlkZycjJOTE2vXrkWSJJKSkkS+WLp0KXFxcURHRyPLMqdOnWLRokVMnDiR77//HrVaXY2W/l8Mq7i4mG+//VaEoebNm3PkyBHMZjM2m434+HhkWf6EKIJqGCYtLQ21Wk1qaqqouCwWCy1btsRut/PVV19ht9u5desW/v7+3LlzR2yKUp2plDZfrVaTm5tL165dsdlsSJJEv379RPMiSRLDhw8nISGBgwcPcuzYMaC6pj59+jR9+/bFarVy5swZwZw1aNCAjIwMJEmibdu2yLKMl5cXixcvZsKECQwePJjt27eTmppKQUEBubm5QrvUokULLly4ICDv3r17C65a4Y7/rU6vqqoCICkpSfDOVVVVLFq0iOnTp5OSksKDBw+YPXs2w4cPZ/Lkydy+fZuCggICAwOx2WxERERgtVo5ePAgjo6O5Ofni5huNpvF4it4lnLtCRMmMH78eGRZJiEhgSlTpqBWq6mqquK3334TUL7S+xQWFmK32wXvofxddeHCBX7//XfOnDnDN998w6lTpwTuAtUchSRJ9OzZU1jQr7/+Kkj95ORkEdMVtLVWrVoA3L9/n+joaMLCwrh8+TLz5s1j4cKFQqayYMECzp0790n+UcC1vLw8OnXqxLFjxzCbzfzyyy8cOnSI5cuXk5SUxPz584Uo2WKxCDknIHoMd3d3vLy8aNKkCd26daN+/frk5+eTkZHB6tWrmT9/Pk2bNqWwsJCCggLevXuHwWCgW7duVFVV0axZM5KSknjz5g0lJSVC3Ofo6Cj0toooT7n31atXA9W8ysePH0VuuH37Nv7+/sK4FX5DQSUAVL179xZJ5dKlS+JnRdMTFRVFjx49RN2tzCLYbDaWLVvG06dPCQsLY9u2baIJevnyJREREXh7e7Njxw4hfzx9+rTgk9u2bYunpyclJSUcPHiQ8vJyVq5cidFoRJZlQkJCBACo1+sZN24ccXFxzJgxg7lz5zJnzhzhsYqVKqS/wWAQmtrY2FjUajU2mw2r1SqSuCRVy0Tr1q1Lq1athDdnZWVx8uRJLl++jNFopEaNGpSUlDBv3jzsdjsbNmzAYrEQFxfH2LFjkWWZ9PR0sS6Kla9YsUIIIxSForKGSmj691qLnKE8zHfffUe3bt2AapImKiqKAwcOANWl7Y4dOwDo0aMHBoOBP//8E3d3d0pLS5EkCTc3N3r16kVeXh5HjhzB29tbxPclS5Zw/fp10tLSqF+/Pjk5OYwbN47c3FxWrFiBSqXir7/+4siRIwQGBpKfn8/x48cF4FZRUUF6ejoqlYoFCxawaNEizGYzK1asEHzG2LFjBV4VGxuLJEmsXr2a169f8/LlSxFKd+7ciU6nY8aMGbRu3RqbzYbFYuHNmzdER0cTERFB+/btcXZ2xsvLi61bt9K1a1dkWWbMmDEi7GzYsIH09HRiY2OFHEe5pvJzVVWVgIjy8/MJDg6moKCAgICAT8KVv78/UkREhAwItYVKpeLs2bOkpqbi7e39iequR48eTJw4kQcPHuDi4oKbmxvOzs5cu3aN33//nc6dO+Pn58fDhw9FTlHo3MjISKAams/NzeX9+/f88ccfAMTExODk5ISTkxOLFy9m5MiR5OTkUK9ePZ4/f05RURFxcXEAuLi4oNfrWbBgAYsXLxaVkuL6Tk5OjBo1Clmu1txOnjxZGNusWbP4+uuv+fjxIxUVFbx79w6r1cq+fftEYm3QoAGvX78mNzcXX19fUlJSOHnyJJcuXeKPP/4Q1ZLSWyj9hZIjFC9MSEhg0aJFfPHFF/j6+mK323FwcECv14sK7N9jB7IsVydwJZsDok+w2WwMGjRIoKF2u53Nmzdjt9txcnISMMbKlStxc3Nj4MCBNG/enGPHjvHf//6XPn36MHDgQAD69+9PWFgYPXv25O3bt1itVho2bEj//v3x9fXl559/5vDhwzRt2pSsrCwxcqXAKrIsC89YunQpdrudhQsXMmPGDOx2O+PHj2fcuHFMmDABlUpFRkYGa9eu5cWLF0A1xqQwcz169OCzzz5j1KhRok/p2LEjTZs2paioSMR5pf+KiIgQfPaaNWuEuFoJc/Hx8aLvsNlsjB8/XnA+iuRfaRuMRiMWi4Xg4GDRPEI11BQcHIzGbDZz8OBBunfvzvnz54UMc9KkSfj4+NCnTx+guh9QqVSkpqbSsWNHunXrxuPHj0lMTBREjsFg4OHDhwQFBaFWq7l586YoOYOCgsTQDcD27duJjo6mQ4cOokJKSUkhISGBFy9eMH/+fMaMGSOsx263ExUVxZ49e4RoTPG89PR0tm/fLmAQpZQF8PHxQZarBdBz587l+PHj9OjRg5UrVyJJEikpKRgMBj777DPu3btHhw4d8PDw4J9//gGq+67t27fToEED3r59y4IFC/Dw8ECtVmO1Wtm4cSNWq5Vx48YB/0/yoyACVquVc+fO4ejoKMBWQIxH5Ofno9FoKCgoQCVJEt27dxeLpKg9Fi9eDFTrZo8dO0avXr2QJIm4uDicnJyYMmUKBoMBWZY5c+YMu3btYs6cOXTr1o2vvvqK/Px8Bg8eLEo+s9lMYGAgfn5+tGzZkiNHjjB27FguXrzI/fv3qaioEHhOUlISNWrUEMRS06ZNefLkCZmZmUIXpVar2bhxo8CclObq3wkdELz71KlTMRgM9OjRg0ePHpGYmMi6detEiXzx4kUkSRLfjUYjjRo14smTJ2RnZ/Po0SOePHkiLFpRlJjNZuG969evF0K7hIQEof54/fo1AO3atRP3VVhYyO3bt8X9BgUFoVJkOjabjfDwcEJCQoBqGYxCCClyHYvFIsJWSkoKS5cuZfXq1UJPtGXLFk6ePMmDBw/o1q0bu3fvFqWvi4sLhYWFmM1mysrKUKvVpKenM2TIEDZs2MD3339Pu3btOHPmDAAXL17kjz/+ELDM5cuXiYmJQavVMm/ePNHlKt6j1+vFTN727dvZtm0bycnJqNVqkpKScHBwwGw2k5eXR8OGDcXAjyzLgo2UZZmWLVtSWVnJo0eP8Pb2xtvbmyZNmhAWFkZhYSEpKSmMGDECjUbDyJEjBQev5JC4uDgkSWLVqlXY7XZmz57Nw4cPqaqq4urVq1itVnJycigrKyMgIEAwjQBSr169ZJPJxOnTp+ncuTMfP37kiy++4Ouvv2bSpEniJgEyMjLIzc3lxYsXeHl5odVq0ev1PH36lI4dO3L06FHOnTvHTz/9JCSPiksqGM7t27cJDAykadOmvHnzBldXV44cOSLicMOGDXF3dxfDN8r/h4aGEhoaSnp6ugAgFTIsLi4OWZb55ZdfMJvN9O/fH6jWTplMJmbMmMGCBQuYM2eO4MKVQR2Fwy4vL+fKlStcvHgRWa5WoiugXtOmTfHx8eHt27d069YNV1dXZs6cyZYtWwS1YLFYGDduHGvXrhVl9OTJk1m1ahVlZWXMmzePCxcu0KFDBy5dukT79u3JyclBr9cjSRIhISGo9Ho9Li4uIt4poWLSpEkcOHBAbMSxY8cEvZmVlUVGRoZYjCZNmhAfH0+NGjUA2L9/v/CWlStX4uTkhLOzs2iOCgsL0ev1nDt3DhcXF1asWEFYWBhNmjTBzc2Nt2/fsnbtWm7evMnr168JDw9Ho9GQnp4OVE8uTZs2jfj4eBEqFaNRtLSZmZmo1WoMBgNLly4V//Po0SPCw8Ox2+1iE202G8nJyVy8eJGvv/6a1q1b8+DBA1auXMn27du5d+8eFouFwsJCiouLRbEzatQoMaKtVqtZt26d0JI5ODiIfKnT6Vi4cCFv377l8uXLfPPNN+Tk5NC2bVtCQ0Opqqqq1unu27ePAwcOiKkkJWEuW7ZMoJFKolQeuFevXkRFRZGamkq9evVEKHrx4gWRkZG4uLiITvTSpUvk5OSICU9Fteft7Q0gKphr167h7OyM3W4XAyf79u3j22+/JTs7m6tXrzJo0CBmzZqFRqMhNTWVjRs3irk7SZL4/vvv0Wg09O/fH61WS3x8PPHx8VgsFubOnUtaWpoY7FFo0EmTJolGEKoRB5VKRUhICImJiULqc/nyZfz8/Hj+/Dl2u53k5GQB9SjlrEqlIiYmRuBYSoOrjFw8fPiQdu3aceXKFbGm2dnZAkFW/fDDDwwaNIhDhw4JiY1Skg4YMABZljl58iSSJDFixAjS0tIEWQ+IXuGnn34iJCSEDx8+0KhRI/z8/BgwYAC1a9cmISGBW7duCdBPlmXhRe3bt2fOnDk0a9ZMwCnBwcGcOXNGCAnOnTsHVOu4lPnr+Ph44ck2m03MaFutVnbt2oXRaGTFihWsXLmSWbNmMX/+fMaPHy+E2EqtrzSPiifn5eXx+++/C73WqFGjCAoKQpZlDAaDYCKVcn/r1q0MHz4cjUZDXFwc69evFxxMamqqaBsmTZokpKdv3779xJMVSETl5OSEu7s7gwcPFiWuIks8cOAAJ0+epHv37kiSxNatWxk/fvwnA4oODg6sWrWKH3/8ERcXF/z8/Ni2bRsuLi4UFRWxbt06cTSFs7MzDRs2ZPz48Rw6dAiAmjVr0rhxY2RZ/kQd8m+cp1OnTgBcvXpVkEBQrYAvKSkhMjKShw8fsnDhQu7fv8/bt28ZMmQIkydPFhNR8+bNY+fOnTx9+pSXL1/y5s0bFi5cyJw5c1iyZAllZWV8/fXXgpe4e/cumzdv/mSu8fr167Rs2ZLp06d/EjWgephnw4YNxMXFieiinH2irNGyZctISUmhV69eguW02+106tSpmlVUsJXdu3fTv39/YbmSJNG/f3/x4AAjRoz4hEiJi4vDarVSu3ZtGjVqxMKFC1m+fDk7d+4U3fsPP/zA1KlT+e6773j37h3Hjh3j+fPnfP7550RERDBjxgzatm1LcXExeXl5FBYWChdu2LAhW7Zs4fr168Ldv/rqK5KSkli2bBkJCQlYrVbmzJnDq1evmDNnDj/++CNubm4idM2dO5fZs2cD4OjoKPKeYvmKiHrr1q1IkvSJLlaSJN6+fUvNmjWR5WpBuII9GQwG3r9/z4gRI8SmxMbGsnHjRj7//HMAMfdot9uZNGkSU6ZMEZ+dnJzMqlWrePfuHadPn64mt0wmE8OGDUOv11NaWsovv/wiRq6UpJeVlSW6RYvFgslkwmg0kpGRgSzLREdH89133yFJEs2aNaNz586kpKTw5MkTunXrhizLtGvXDk9PT+rWrUt5eTlnz55l+PDhBAYGolKpCAgI4Pbt22IRgoKCuHfvnuiCIyIi8PHxEbX6ixcvmDt3Ls+ePRMLGRYWRmxsLMHBwfz9998AzJgxA41Gw6pVq/jiiy8wmUxcvnwZFxcXXr16JahegPLycu7duyc2xGAw4OrqSlZWlgAurVYrwcHB9OnTh7lz57JlyxZGjhwpqNmYmBg2bNjApk2bGDlypNBVQXV15+bmxpo1azAajZhMJu7evYuzszOJiYmolE4yPT2dvXv3AtUjVxaLhSNHjnD8+HHBbyiboVar2bNnD9HR0cTExKDRaITKMCQkhJ49e9KsWTMeP34soPHLly9z7do1AYdAdUOmnPWh5KAWLVoIC1Su2aVLF6Kjo4UhXL16Fb1ezx9//EFGRgZDhw4lLCyMsrIyhg0bxsePH+ndu7cQKTs4OGC328UxGTqdjqVLl3L16lVq164trFWlUgkEQpIkMZHVvn17kYTz8vIoKChgzpw5rFy5Ep1Ox88//yxCk1JUKC8lymzatInExERh6Fqttnrc+P82tklJSaiUJm748OEMHz6cAQMGAAimSiHUFVW1wgL269ePHTt2oNFo2Lp1K6NGjWLIkCFIkkR4eDjJycnExcWxceNGABSo3s3NjQsXLjB06FC8vb2pX78+JpOJBg0aEBUVRWlpKffu3ePmzZvigWJjYwHo1q0blZWVgi9X5kkUgqa4uJiQkBDi4+Np0qSJQJLnzJkj1BtffvklgwcPZuvWrXh7e1NUVERwcLDQ88qyLIoSnU4nZgGvX78u8k+LFi3w9/fHZrNRVlbG6NGjkSSJMWPGEBsbi9VqJSYmBkmSxIExSpe+efNmdDqdaFBdXFwwGAzVm5Geni60r8pOTp48GY1GQ2RkpAhXkZGRYixZOX9q+PDhpKenM2rUKAERbNu2TXSh6enprFu3TijNFdCtefPm6PV63rx5w4EDB7h//z4PHjwQFZESppT7ad++Pe3btxcborj4oUOHiImJoXnz5mIqVqvVCpGYh4cHHz58YPHixbi5ubF3714hyK5Xrx49e/bk2rVrFBQUkJeXh4eHB7dv3xbVoBKSlBAty9UHEShYmt1uZ9y4ceIkCcXwNBoNGzduZPPmzahUKrZu3So8BKpRaiUiKTqqJUuWVCdwSao+90Kr1bJ//34Bjyi1uyRJHD58mNGjRwPQs2dPNBqNOEpo8+bNbN26FUdHR3FK2YwZMxg7diyVlZUUFRXRuHFjjhw5QoMGDfjss88oLCxk7969dO7cmbZt2wpMLDAwkH79+nHr1i2aNGnCoEGDuHDhAs+ePRNHQHTo0IFu3brx7t07IiMj6dmzpwAOx44dS/fu3bFYLCQlJbF8+XJmzpyJXq9Hr9fzzTff8Ouvv9KxY0emT5/OgQMHBIF25swZAgIC+PPPP1GpVOIoDQcHB8LDwwUQqXTdJpOJOXPm8MMPP4j/27x5s6CKlWSvyJ8UNQnwiYRUUYdIgDxy5Ei2bNnC8OHDsVqteHl5sXLlSg4dOiQqJ4vFQklJCbm5ubx69QqDwYCbmxsZGRmMHj0ajUYjRmsTEhLEDTk4OFC7dm12797NpUuXmDNnjtDLvn37lu3btzNo0CCuXbtGjRo1BLJ5//59ABo1akStWrUEQTNlyhSWL18uSC+r1UpUVBTZ2dmsXLmSJk2a4OPjg8FgICYmRhwmIMvVsxju7u5UVVUJHt3R0RGLxUJoaKhI5Mq4w+bNm9myZQuenp58+PCBnJycaqj7/0p6fH19CQkJwWKx8OOPP4pCQtmE6Ohodu3aJQ6kUYRwioesWrUKWZbFfKAKqhWBMTExAl3VarWkpaXRt29fwXurVCrGjRsnGjclJMXGxgptUExMDOPGjcNut7Ns2TKWLl0qwLyGDRsyZswYFi5cyMqVK1m5ciU7duygcePG2Gw2Hj58iNFo5ObNm7i7u4sTCf766y/sdjt+fn40adIEjUbDkCFD6N+/P2azWZx0YDKZyMrKonnz5nz++edi4ujflLFyLJJWq6VNmzZoNBohTv53V2w2m5k5cyajRo3CbDaLjYBqVFtRyzx8+FB4yc6dO8WUlCzL/PDDD+zdu/cTdFc5mUehr5WhfqAac4uLi5OVD1T4Z2XeTAlPSgJ/8+YNt2/f5vXr1zg6OuLu7i7EXOPHjyctLY3Y2Fjq1KlDSUmJmJWrrKwUjWFlZSWurq7Mnz+fuLg47t69y8WLF8VBkm3btuXjx49YrVbu3LlD//79efDggSh7FerTx8dHyCT79OnD8uXLmTx5MpcuXeLPP/+kqqoKJycncYSGk5OTSJw6nY7mzZsLra/FYuH+/fscPXpUqMTz8vIYMmQIu3fv5t+vf8PzwcHB9O/fH0dHR1xdXRk1ahQ7duzAarUyYsQINm3ahN1uZ8yYMaSlpSHLMvHx8aJLV3q4uLg4NmzYUB2mAEaPHi0GQXx8fKhVqxa1a9fG1dWViooKJEni/fv3YjBkwIABuLu7CxhakiRRorq6umI2m1m1ahXTpk3DaDQyZcoU0tLS+PDhAxs2bCAxMRF3d3fmzp37SbOlzEoo54pUVVXh6upKTk4Offr0oU6dOqxZs4aff/6Zx48f07x5c9RqtZjBrlOnjtB/paam4uXlxaBBgzh37hwdO3YUyngl2QcEBJCXl0dRURF79+7l119/RZZldu7cycWLFwVPnZ+fz3//+1/sdruQbSqFxrZt21i9ejW1atWioqJCVKBjxowRa7N+/Xri4uLYvn07w4YNExu7efNmIXBQKcilRqNh8+bNnzBVVquV7777jr59+wL/D6VU3F5ZMAUy2LJlC+vXr6esrAy73S4OfVyzZg116tQRZzKNHz8eFxcXoZyAakZOp9NRVFTEy5cvuXHjBiaTiTp16pCTk0NERAR//vknv/76K76+vixatIhFixbRt29fysvLKSkpYcCAAUJgtn//fjw8PHj16pU4RQeqTy1QkFplfLqqqorHjx/z6tUroLqvcXd35/Xr1+Tl5Yl5DKPRKEbhlPG14uJi5s+fT0lJiTjiSGn+tm3bxq5du4Rn7tu3D1mWycjIYPPmzaLacnBwID09HY2iYoBqnCQjI0OQN4qq8OjRo/Tp04eNGzcSExND165dOX36tHBXxQKGDx8u5CsKmTNixAjq1atHQUGBOF5Ur9djsVhITk7Gzc2NadOm4eXlJep4RbPl7+/P69evCQoK4vPPP+fbb7/l119/FVL/xo0bM3XqVNHfZGVlCVFzZGQk27ZtY+LEiezatYvXr19z9uxZcd6uckgAVI+vQfXJP3379sXJyYmePXty+PBhcdSRkk969OjB8ePHCQwMpLKyUpygExgYyD///COqOg8PD4YNGyY2QFnjrVu3irJ29OjRbN26VbQFUlxcnAiCSpPn7e3N8uXL2bdvHwMGDODQoUMYjUY+fvxIdnY2L1++pEaNGhw6dIjRo0ezadMmhg8f/klyV07DLC0t5eeff+bevXs0bdpU4ERQ3YHXqFGD2bNnC7lNQUEBFotFHH+hCNjatm1Ls2bNOH/+PK6uruTn5wPVfYder+fw4cNkZGRQo0YNevfuzenTpykpKcHR0VGgqGazmX79+nHx4kXBdVitVgoLC7l8+TK///47X331FWFhYfj4+PDo0SMOHTrE3bt3ad26Nbm5uSJntG/fnosXL/L/vzZt2oSTkxNDhgxhz5492Gw2hg4dCsDOnTvFATg2m42qqirR0GZkZKBSqVSsX7+e9evXA9VCAeU0TJ1OJ9DVQYMGCahaaXoGDx4MIGhIpUFUKrJly5axefNmioqKePv2Ldu2baNOnTqiR9FoNIKjdnNz4+XLl0IQHBERgaurKx8+fACqVYrnz58X6K4CZJ46dQo3NzdmzZrFyZMnef36NRcuXBC4Ur9+/dBoNPTu3RubzcapU6coLS0VGFfLli3FAE379u05duyY6EkWLlwooP7S0tJPLNxsNot7VQRwixcvJiYmRnDfSviW5epT5YYMGYJOpxPsorOzM5s2bUKSqo/UUP2bWHFwcGDChAmkpKSInKB4jPKGAQMGcO7cOUwmE2q1WuAyP//8M1arVQygVFZWMmLECEaNGoW/vz9ms5l69eoJmEMJj66urjg5OTFnzhwCAgIwGo3Cch8/foyLiwtBQUG8e/cOWZZ5+PChOE/x77//FqxZSUkJTZs2JSYmRkAfvXr14tixY0I4rWiXnJ2dOXfuHG/evOHs2bM8fvxYnBAxZ84cHjx4wKtXr5BlWZy0ptfrhShbQQOcnZ1p0aKFKAgUTMpqtbJ//35RRivlsiJrdXFxwcHBgaFDh4qWwmKxoPr3QVzr1q3DZDKxYMECIVBTNkNxT+WCBw4cYPv27eKDlC5e+Txl7lmBUP5PW98eF1Wd/v8+Z4aZM8MMN29ImLhsK/UyM5VWzUxcW8t0y9sqJHEVUQQclYuuIwwQIirgEC7IVcFVXNJaLcsytPKSQmtpra1ml7VdL6hxmYEZZub8/jj7PMJ3f+cfXyLO5ZzP5/k8l/fl+++/x4MHD/DMM8/AYrHwTblz5w73hG7fvo2QkBCYTCaMGjUKQ4cOxbvvvssypL/+9a8REhLCMb6trQ2ffPIJvvvuO+zZs4c5EUePHuXkoKurC1qtFi+++CL0ej3LS8yaNQt6vZ4/B6CcGfn5+QgNDWV5iu+++w5nz57lDsG4ceN4Tk46u4Szun//PsrKyhjWqVKpsGzZMuzfv5+hqtHR0eju7kZ8fDxqa2tRV1eH2tpahacyEMDrcDg4hMiyzKyl/9/1+uuv8xvQYURz6sTERNTX1+OVV17BlStXcP78eVy8eJFf79ixY+jp6YG/vz9KSkoAKGi/nTt3wmQyYcSIEdi4cSMKCwsRFhaG1tZW+Pv7o6+vDz/88APa2tqQlZWFzs5OTJo0CV5eXti0aRMOHTqE69ev48GDB7h58yYAYOjQoQze/uCDDwAAs2fPxocffsgwnbS0NDQ1NbG8HdHNAAWA19jYCEDhvR85cgRPPvkkDAYD2tvbERYWBqPRCFEUcebMGcTHx+M///kPcyIBJcQ3NDTA4/Ew/aympoZhOomJiaisrHzYm+ru7mZCCOX3Bw8e5Ji3fPlypKamwul0Yvbs2XA6naiuroYkSdi/f/+gorG6uhqLFy/GE088AVEU4e3tjb6+PpSWlmLTpk0ICQlBZ2cnsrOzASgzh8LCQsiyjEceeQQul4t7Snq9HhEREcw3BJQquLi4GEOHDmWG07179zBixAgAQGVlJY4ePYq8vDzeEcePH2fi5YkTJ1hbhFLz9vZ2zJw5Ex9++CHu3LmDe/fuQZZlvPbaazwmJbUFlUqFnp4eTJ06lcFpFy5cQF9fH8OQqHg+cOAAh2PqbVHoio+P576VIAgQEhISZBp+0OGUn5+PYcOGYeXKlRAEAY2NjVCr1ejq6kJSUhJmzZqF4cOHw8vLi3FD/1dQ12azoaSkBP/85z9hs9nwhz/8ATt27MDdu3fR19fHo1iC01A16nA4WBrCy8uLWUs3b95EQEAADAYDN/LoNQhM/PzzzyMwMJBFYWg4JcsKzS08PByfffYZnnvuOZw6dYpn0DNmzGD1Arra29uxd/xNtx8AABxJSURBVO9e3Lp1C5Ikobu7G1OmTMGECRPgcrnw8ssvQ5Zl1nmn94mJicHkyZPh8XgQGBiIpUuXoq6ujpGOgiCgurqas05qyCYkJEAcOFalbUWp4FtvvYVDhw5h+fLlcLlcPChqbW1Fc3MzmpqauOTXaDSDmLEulwujRo2CRqPhQshgMODRRx+Fy+UapDVLqTCJsIiiiOzsbMYdeTweDB06FH/6059w4sQJXL58GY899hivukuXLiEuLo45c6NHj4ZarWb68rlz5xAeHg4APHumVg019fr7+9k/hORfrVYroqOjeUdmZmbiwoULePnllzFp0iQ89thj3EgdP348BEHgbBQAJ0AJCQl4/fXXuSVCdUVsbCw8Hg/i4+OV1Nbj8SAmJoZfNCUlhVcqPe2BuKCoqCi8+OKLAMDI8D179nBDjSrMgXpMixcvRlVVFZKTk2G321FRUcGQ/KtXryIzM5MR2lRzEFgAUNCIHR0dSElJgZ+fH06fPs005oEAu7CwMDQ3NyMhIQGXL1/GmDFjACiKzMePH8eJEydw4sQJXLx4EVOmTMGMGTN4IdJCINrXpEmTcOHCBfzmN79BTEwMqwuR5F17ezuuXbvG39nj8WD69OkIDw9HR0cH0tPTkZCQgOrqalaB0+v1PPugYZ2Xlxd3zIXY2FiZkB9JSUnweDwICQmB2WzGW2+9xYUgoOTaX375JWdIsbGx0Ol0sNvtHAcp5NFDlGWFZHn//n0AChExMjISBw8eRHFxMRwOB27cuMGjVgodvb29/DDq6uoQHx+P8vJyJsVHRkbyezQ0NCA2NhYtLS2cfre0tMBms8FoNGLhwoWgIVpQUBDsdjsL8BPn+4UXXsCZM2fw7LPPclijB+Tt7Y2xY8dytPjqq68wZ84cxMTEDHK/ITDFH//4R0RERGDVqlXYs2cPVqxYgYaGBoiiiJiYGOzZs4dnGAMlmkQam1KXkWD/5eXlWLRoEdRqNVeUa9asgc1mw4IFCwZtSXpYTqeTuREDAchRUVEsUL9mzRqMGDGCW9qSJGHcuHH44Ycf0N3dzTNqqtRp1ZSVlSE1NZX7WwcPHkRdXR327dsHb29vVFVVYdGiRZBlGYcPH2aIDPXafvWrX0GSJNy5cwfe3t54++23cfz4cej1egQEBLCU3alTp/DZZ58BUKgEbrcbYWFhaG9vR2NjI7RaLfz8/GC323Ht2jW43W7mc4eFhWHixIm4f/8+kpOTIcsy7wAAHBJp/k2HP6NuaGdQP4mGS8HBwRg5ciQWL16M5uZmOJ1O3L17F2fPnkVfXx+Cg4MZJ9TX1wcvLy84nU40NDQgISEBNTU1uHbtGs6dO4fOzk6kpaUhPT0du3btYqQdASEABQbq4+PDiApAoWIZjUY8ePAAfn5+MBqNXN0uWLAAdXV1MBgMTA+LiYnhoZMoiizAQtkcgR5efPFFHDhwAI899hh6enowc+ZMnD9/nodohPqjM4V+fu/ePcyfPx+tra3o6OjAuHHjsGjRInz99dd4+umnodfrcfbsWUyYMAGBgYGYO3cutFotHA7H/8ixUvOSJoYpKSkQ6+vrUV9fj4aGBjidTg4zHo8HDocDLS0tjKqgNsixY8f4JtIct7Ozk28iCUX29vZyjp+RkQFJkvhDWa1WSJKEVatWYdeuXcw4KioqYjpCQEAAVqxYgSFDhiAoKAhRUVFYsGABDAYD6urq4OPjA51Oh6ioKMTGxvLsheCdc+bMgY+Pj+JnJIqM3Tp27Bj8/PxYG6u9vZ1VGUjph3Y1nSFTp07FvHnzcOjQIajVaoSGhnLX9vHHHwcAnDlzBuPGjYMoinj//feZfCnLMg4ePIi9e/dyzUJyGYQo3L17t5La1tbWIjIykilZwcHB7PzV0tICURS5YIuKimJ3LSr8CJ5Iu4Na8LNnz4aPjw/mzp3LQlnAQ+4dyU/YbDa2ZbBarXA6nfjll19QUFCAAwcOsNTQ6NGjcfv2bdhsNvj7+w9Cq9D70mDL4/Fg/vz5OH36NFwuF3x9fXlxUHJC9YJer2exFqIwBwcH48GDB7wrpk2bhnPnzvEZ6efnxwvoxx9/hCRJGDlyJO7fv88I+ldeeQVPPPEEHnnkEUbsi6LI847Y2FgGbiQnJytkmcTERPzlL39BTU0NqqurkZOTg4qKCjQ2NnKaKggC38x58+YhMjIS+/bt4xcmBASdAzU1NYiMjOR0t6ysDKtXr+YzxeVyYfv27ejo6IBareYYKwiKVuDw4cM53JCa2u3bt2E0GhEfH49bt24xnKi7u5u5fvfv32fkYHNzM9RqNXp6ejB58mRMnz4dOp2O65jf/e53/HldLhemTp0Kg8EAt9uNa9eusSqOKIq4ePEii+aTLOyYMWNw8uRJGAwGSJKEDz/8kNV/BEHAzz//jMuXL7NBFu0IjUaDuLg41NXVMWFHEASlzqDQRNuTbtby5cuxcOFChunQ1n333XcZUg9gEPaV4KI0tDIYDMjKykJMTAxUKhVqamqg1Wrx5ptvYvPmzfD19UVBQQF0Ot0gFU5BUMTaf/jhByYw6nQ6dHd34+2330ZQUBALzRiNRp5Lv/TSS3y2BAUFsT4JXc8++yyT9mVZhr+/P6NTysvL8fnnn+Ps2bMsljxp0iRMnToVzzzzDB/AbW1t8Hg8uH79Or755hsGdY8fP55nNXRfyKOwsrISt2/fRlJSEiul0nHAkFo6wAmwRU+M4v+hQ4ewZMkS7N69m2VLIyIi8PHHHyM1NZWtCFwuF1s5ECtpYOylGXlSUhKqq6thMpm4FQE8RErk5OTg7t272L17Nw4cOMA3gCSU5s+fzzvoxIkT0Gg0+O6775CQkABZVjhynZ2dmDVrFk6ePInZs2ejtbWVC0BA4YeQwppWq0VISAjefPNNDrmE4KDfb2lpwahRoxhf9uSTT+LChQvQ6XTsQAMAEydOZMFmygqJKRwdHQ2Hw4G0tDR+3draWtZkBABhyZIlsizLaGlpQUJCAnp6enDw4EHs3r0bPj4+3GeJioqCxWLhsyQyMpKH/bQbqJKUZYXQSKks9f1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      "text/plain": [
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     "metadata": {
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   "source": [
    "plt.subplot(1, 3, 1), plt.imshow(img, cmap=\"gray\"), plt.axis(\"off\"), plt.title(\"原图\")\n",
    "plt.subplot(1, 3, 2), plt.imshow(t_img, cmap=\"gray\"), plt.axis(\"off\"), plt.title(\"低4位信息隐藏\")\n",
    "plt.subplot(1, 3, 3), plt.imshow(n_img, cmap=\"gray\"), plt.axis(\"off\"), plt.title(\"加噪\")\n",
    "myipf.calcMSEPSNR(t_img, img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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